Atkin-Lehner |
2+ 3+ 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650n |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-663082200000000 = -1 · 29 · 34 · 58 · 11 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25075,-1977875] |
[a1,a2,a3,a4,a6] |
j |
-4463890825945/1697490432 |
j-invariant |
L |
2.2341121379787 |
L(r)(E,1)/r! |
Ω |
0.1861759821803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650cm1 |
Quadratic twists by: 5 |